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Finding the Third Proportional to 207,694 and 454,694

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Solution

The third proportional to 207,694 and 454,694 is: 995,438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,694 : 454,694 = 454,694 : x
  2. Step 2: Convert to fraction form
    207,694/454,694 = 454,694/x
  3. Step 3: Cross multiply
    207,694x = 454,694 × 454,694
  4. Step 4: Simplify right side
    207,694x = 206,746,633,636
  5. Step 5: Solve for x
    x = 206,746,633,636/207,694
  6. Step 6: Final answer
    x = 995,438.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.